JP Journal of Algebra, Number Theory and Applications
Volume 35, Issue 2, Pages 81 - 217
(December 2014)
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EXTENSION OF SUPPORTS OF SOLUTIONS OF A QUANTUM FUNCTIONAL EQUATION
Lan Nguyen
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Abstract: We resolve a problem posed by Melvyn Nathanson concerning the conditions for extending the support base P of solutions of the functional equations arising from multiplication of quantum integers. Furthermore, we also give an explicit construction of the new polynomials when such an extension exists and pose a new problem which arises from our work. |
Keywords and phrases: quantum integer, q-series, sumset, polynomial functional equation, cyclotomic polynomial, rational function. |
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